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Finding the Third Proportional to 178,398 and 374,309

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Solution

The third proportional to 178,398 and 374,309 is: 785,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,398 : 374,309 = 374,309 : x
  2. Step 2: Convert to fraction form
    178,398/374,309 = 374,309/x
  3. Step 3: Cross multiply
    178,398x = 374,309 × 374,309
  4. Step 4: Simplify right side
    178,398x = 140,107,227,481
  5. Step 5: Solve for x
    x = 140,107,227,481/178,398
  6. Step 6: Final answer
    x = 785,363.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.